题目：Basic open problemsin the theory of nonlinear superposition operators in BV spaces
摘要：The variationintroduced by Jordan has focused attention of many mathematicians because ithas found numerous applications in various branches of science. Since solutionsto many diﬀerential and integral equations whichdescribe concrete physical phenomena are functions of bounded variation in thesense of Jordan, the Banach space of such functions forms an interesting placeto examine classical nonlinear operators such as convolution operators,nonlinear superposition operators as well as nonlinear integral operators. Inthe monograph by J. Appell et.al. ”Bounded variationand around” published in 2014, three basic openproblems concerning nonautonomous superposition operators acting in the spaceof functions of bounded variation in the sense of Jordan, have been stated. Theaim of this talk is to present the answers to those problems. Moreover, somecomments concerning functions of bounded variation in the sense of Watermanwill be given.
简介：波兰密兹凯维奇大学教授，主要从事非线性泛函分析、不动点理论、常微分方程和积分方程研究，在国际知名学术期刊发表学术论文59篇。现为《Lecture Notes in Nonlinear Analysis》主编，《African Diaspora Journal of Mathematics》、《InternationalJournal of Evolution Equations》副主编。